diff --git a/src/cache.jl b/src/cache.jl
index 0980a0b..e7722f5 100644
--- a/src/cache.jl
+++ b/src/cache.jl
@@ -5,7 +5,7 @@ struct AnalysisResults
     constraints::Union{Nothing, Vector{AnalysisResult}}
 end
 
-struct OptimizationCache{F, RC, LB, UB, LC, UC, S, O, D, P, C, M} <:
+struct OptimizationCache{F, RC, LB, UB, LC, UC, S, O, P, C, M} <:
        SciMLBase.AbstractOptimizationCache
     f::F
     reinit_cache::RC
@@ -15,7 +15,6 @@ struct OptimizationCache{F, RC, LB, UB, LC, UC, S, O, D, P, C, M} <:
     ucons::UC
     sense::S
     opt::O
-    data::D
     progress::P
     callback::C
     manifold::M
@@ -23,7 +22,7 @@ struct OptimizationCache{F, RC, LB, UB, LC, UC, S, O, D, P, C, M} <:
     solver_args::NamedTuple
 end
 
-function OptimizationCache(prob::SciMLBase.OptimizationProblem, opt, data = DEFAULT_DATA;
+function OptimizationCache(prob::SciMLBase.OptimizationProblem, opt;
         callback = DEFAULT_CALLBACK,
         maxiters::Union{Number, Nothing} = nothing,
         maxtime::Union{Number, Nothing} = nothing,
@@ -150,13 +149,12 @@ function OptimizationCache(prob::SciMLBase.OptimizationProblem, opt, data = DEFA
 
     return OptimizationCache(f, reinit_cache, prob.lb, prob.ub, prob.lcons,
         prob.ucons, prob.sense,
-        opt, data, progress, callback, manifold, AnalysisResults(obj_res, cons_res),
+        opt, progress, callback, manifold, AnalysisResults(obj_res, cons_res),
         merge((; maxiters, maxtime, abstol, reltol),
             NamedTuple(kwargs)))
 end
 
-function SciMLBase.__init(prob::SciMLBase.OptimizationProblem, opt,
-        data = DEFAULT_DATA;
+function SciMLBase.__init(prob::SciMLBase.OptimizationProblem, opt;
         callback = DEFAULT_CALLBACK,
         maxiters::Union{Number, Nothing} = nothing,
         maxtime::Union{Number, Nothing} = nothing,
@@ -164,7 +162,7 @@ function SciMLBase.__init(prob::SciMLBase.OptimizationProblem, opt,
         reltol::Union{Number, Nothing} = nothing,
         progress = false,
         kwargs...)
-    return OptimizationCache(prob, opt, data; maxiters, maxtime, abstol, callback,
+    return OptimizationCache(prob, opt; maxiters, maxtime, abstol, callback,
         reltol, progress,
         kwargs...)
 end
diff --git a/src/function.jl b/src/function.jl
index f93dda7..c5d3e94 100644
--- a/src/function.jl
+++ b/src/function.jl
@@ -114,17 +114,87 @@ end
 function OptimizationBase.instantiate_function(
         f::OptimizationFunction{true}, x, ::SciMLBase.NoAD,
         p, num_cons = 0; kwargs...)
-    grad = f.grad === nothing ? nothing : (G, x, args...) -> f.grad(G, x, p, args...)
-    fg = f.fg === nothing ? nothing : (G, x, args...) -> f.fg(G, x, p, args...)
-    hess = f.hess === nothing ? nothing : (H, x, args...) -> f.hess(H, x, p, args...)
-    fgh = f.fgh === nothing ? nothing : (G, H, x, args...) -> f.fgh(G, H, x, p, args...)
-    hv = f.hv === nothing ? nothing : (H, x, v, args...) -> f.hv(H, x, v, p, args...)
+    if f.grad === nothing
+        grad = nothing
+    else
+        function grad(G, x)
+            return f.grad(G, x, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function grad(G, x, p)
+                return f.grad(G, x, p)
+            end
+        end
+    end
+    if f.fg === nothing
+        fg = nothing
+    else
+        function fg(G, x)
+            return f.fg(G, x, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function fg(G, x, p)
+                return f.fg(G, x, p)
+            end
+        end
+    end
+    if f.hess === nothing
+        hess = nothing
+    else
+        function hess(H, x)
+            return f.hess(H, x, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function hess(H, x, p)
+                return f.hess(H, x, p)
+            end
+        end
+    end
+
+    if f.fgh === nothing
+        fgh = nothing
+    else
+        function fgh(G, H, x)
+            return f.fgh(G, H, x, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function fgh(G, H, x, p)
+                return f.fgh(G, H, x, p)
+            end
+        end
+    end
+
+    if f.hv === nothing
+        hv = nothing
+    else
+        function hv(H, x, v)
+            return f.hv(H, x, v, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function hv(H, x, v, p)
+                return f.hv(H, x, v, p)
+            end
+        end
+    end
+
     cons = f.cons === nothing ? nothing : (res, x) -> f.cons(res, x, p)
     cons_j = f.cons_j === nothing ? nothing : (res, x) -> f.cons_j(res, x, p)
     cons_vjp = f.cons_vjp === nothing ? nothing : (res, x) -> f.cons_vjp(res, x, p)
     cons_jvp = f.cons_jvp === nothing ? nothing : (res, x) -> f.cons_jvp(res, x, p)
     cons_h = f.cons_h === nothing ? nothing : (res, x) -> f.cons_h(res, x, p)
-    lag_h = f.lag_h === nothing ? nothing : (res, x) -> f.lag_h(res, x, p)
+
+    if f.lag_h === nothing
+        lag_h = nothing
+    else
+        function lag_h(res, x)
+            return f.lag_h(res, x, p)
+        end
+        if p != SciMLBase.NullParameters()
+            function lag_h(res, x, p)
+                return f.lag_h(res, x, p)
+            end
+        end
+    end
     hess_prototype = f.hess_prototype === nothing ? nothing :
                      convert.(eltype(x), f.hess_prototype)
     cons_jac_prototype = f.cons_jac_prototype === nothing ? nothing :